Question

Determine the intervals on which the function is increasing, decreasing, and constant.

Answer 1

The answers are:
increasing x > 0; decreasing x < 0
decreasing on all real numbers
increasing on all real numbers
increasing x < 0; decreasing x > 0

I think it's increasing on all real numbers. Is that right? Or no? @HelpOfTheGods

Answer 2

oh, you are given the graph... don't even have to find the second derivative...LoL

Answer 3

Increasing = positive slope. (the slope can become smaller too, but as long as it's positive)

Decreasing = negative slope. (the slope can be growing towards positive, but as long as the graph is going down, now matter how steeply, that is decreasing.)

Concave up= the slope is becoming grater and greater. (The slope can be always negative, but if it is growing, then it is concave up.)

Concave down = the slope is becoming smaller and smaller. (The slope can be a positive number but if it is becoming a smaller slope that it ios still concave down.)

Answer 4

On your graph, is there any interval where the slope is negative?

Answer 5

yes, yes, sorry, didn't see your post. yes it is increasing on the entire function.

Answer 6

you are right.

Answer 7

Okay thank you. I just wanted to make sure it was right! :) I appreciate your help.

Answer 8

(the concavity though is: Down when x>0, and Up when x<0.
and inflection point (looks like) (0,0) )

Answer 9

yw

Answer 10

I mean not (0,0) but (0,1)

Answer 11

anyways, have fun with tyour math :)